Simplify so that the final answer is expressed only in terms of .

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

Simplify

\dfrac{\sec^2\theta-1}{\csc\theta}

so that the final answer is expressed only in terms of

\sin\theta

. (a)

\dfrac{\sin\theta}{1+\sin^2\theta}

(b)

\dfrac{\sin^3\theta}{1-\sin^2\theta}

(c)

\dfrac{\sin\theta}{1-\sin^2\theta}

(d)

\dfrac{1-\sin^2\theta}{\sin\theta}